- [Maximum mark: 8]
An astronomer models the shape of a parabolic mirror using the equation y = x².
(a) Find the equation of the normal to the mirror at the point (2, 4). [3]
A ray of light comes from an object at coordinates (0, 10) and hits the mirror at the point (2, 4).
(b) Find the gradient of the ray of light. [2]
(c) Find the angle between the ray of light and the normal to the mirror. [3]